Holdings: Applications of Orlicz spaces

Applications of Orlicz spaces:

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Bibliographic Details
Main Author:	Rao, Malempati M. 1929- (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] Dekker 2002
Series:	Pure and applied mathematics 250
Subjects:	Orlicz spaces Orlicz-Raum
Online Access:	Inhaltsverzeichnis
Physical Description:	XI, 464 S.
ISBN:	0824707303

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MARC


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adam_text	APPLICATIONS OF ORLICZ SPACES M. M. RAO UNIVERSITY OF CALIFORNIA, RIVERSIDE RIVERSIDE, CALIFORNIA Z. D. REN SUZHOU UNIVERSITY SUZHOU, PEOPLE S REPUBLIC OF CHINA MARCEL DEKKER, INC. NEW YORK * BASEL CONTENTS PREFACE V CHAPTER I. INTRODUCTION AND BACKGROUND MATERIAL 1 1.1 ./V-FUNCTIONS AND QUANTITATIVE INDICES 1 1.2 SOME BASIC RESULTS ON L $ -SPACES 13 1.3 NOTES ON YOUNG FUNCTIONS AND GENERAL MEASURES 28 1.4 INTERPOLATION RESULTS ON ORLICZ SPACES 35 BIBLIOGRAPHICAL NOTES 47 CHAPTER II. NONSQUARE AND VON NEUMANN-JORDAN CONSTANTS 49 2.1 INTRODUCTION 49 2.2 LOWER BOUNDS FOR J{L^) AND C NJ {L) 53 2.3 UPPER BOUNDS FOR J(L^) AND J(L) 59 2.4 SHARP BOUNDS FOR CJVJ(^ C$S) ) AND C NJ (L* ) 66 BIBLIOGRAPHICAL NOTES 72 CHAPTER III. NORMAL STRUCTURE AND WCS COEFFICIENTS 7 3 3.1 INTRODUCTION 73 3.2 WCS AND JV-COEFFICIENTS OF ORLICZ FUNCTION SPACES 78 3.3 WCS COEFFICIENTS OF ORLICZ SEQUENCE SPACES 90 3.4 MORE ON ORLICZ SEQUENCE SPACES 107 BIBLIOGRAPHICAL NOTES 116 CHAPTER IV. JUNG CONSTANTS OF ORLICZ SPACES 117 4.1 INTRODUCTION TO JUNG CONSTANTS 117 4.2 LOWER BOUNDS OF JC(L^) AND JC{L) 124 4.3 BOUNDS FOR JCIL^) AND JC{L) 135 4.4 BOUNDS FOR JC(L W ) AND JC(L*) 138 IX X CONTENTS BIBLIOGRAPHICAL NOTES 145 CHAPTER V. PACKING IN ORLICZ SPACES 147 5.1 PRELIMINARIES 147 5.2 PACKING IN ORLICZ SEQUENCE SPACES 150 5.3 PACKING IN ORLICZ FUNCTION SPACES 167 5.4 PACKING IN REFLEXIVE ORLICZ SPACES 175 BIBLIOGRAPHICAL NOTES 183 CHAPTER VI. FOURIER ANALYSIS IN ORLICZ SPACES 184 6.1 PRELIMINARIES ON FOURIER SERIES 184 6.2 CONJUGATE FUNCTIONS AND ORLICZ SPACES 190 6.3 CONJUGATE SERIES AND CONVERGENCE IN SUBSETS OF ORLICZ SPACES 199 6.4 A HAUSDORFF-YOUNG THEOREM FOR ORLICZ SPACES 209 6.5 FOURIER ANALYSIS ON GENERALIZED ORLICZ SPACES 227 BIBLIOGRAPHICAL NOTES 234 CHAPTER VII. APPLICATIONS TO PREDICTION ANALYSIS 236 7.1 BEST PREDICTIONS WITH CONVEX LOSS 236 7.2 WHEN IS A PREDICTION OPERATOR LINEAR ? 244 7.3 NONLINEAR PREDICTION FOR NONREFIEXIVE SPACES 249 7.4 SOME EXTENSIONS TO VECTOR VALUED FUNCTIONS 260 BIBLIOGRAPHICAL NOTES 271 CHAPTER VIII. APPLICATIONS TO STOCHASTIC ANALYSIS 273 8.1 LARGE DEVIATIONS AND YOUNG FUNCTIONS 273 8.2 INFINITE DIMENSIONAL EXTENSION AND VECTOR ORLICZ SPACES 293 8.3 REGULARITY OF STOCHASTIC FUNCTIONS AND ORLICZ SPACES 303 8.4 MARTINGALES AND ORLICZ SPACES 313 BIBLIOGRAPHICAL NOTES 325 CONTENTS XI CHAPTER IX. NONLINEAR PDES AND ORLICZ SPACES 327 9.1 ORLICZ-SOBOLEV SPACES FOR PDES 327 9.2 REMOVABLE SINGULARITIES, PDE AND ORLICZ SPACES 345 9.3 STRONG AND WEAK TYPE INEQUALITIES IN ORLICZ SPACES 356 9.4 COMPOSITION AND NEMITSKY OPERATORS IN ORLICZ SPACES 368 BIBLIOGRAPHICAL NOTES 378 CHAPTER X. MISCELLANEOUS APPLICATIONS 380 10.1 BEURLING-ORLICZ ALGEBRAS 380 10.2 RIESZ ANGLES OF ORLICZ SPACES 384 10.3 EMBEDDING THEOREMS FOR SEQUENCE SPACES 392 10.4 DIFFERENTIABILITY PROPERTIES OF ORLICZ SPACES 402 10.5 ^ -SPACES AND APPLICATIONS 411 BIBLIOGRAPHICAL NOTES 436 REFERENCES 437 NOTATION 457 INDEX 461
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author	Rao, Malempati M. 1929-
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spelling	Rao, Malempati M. 1929- Verfasser (DE-588)119519054 aut Applications of Orlicz spaces M.M. Rao ; Z.D. Ren New York [u.a.] Dekker 2002 XI, 464 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 250 Orlicz spaces Orlicz-Raum (DE-588)4172841-5 gnd rswk-swf Orlicz-Raum (DE-588)4172841-5 s DE-604 Ren, Z. D. Sonstige oth Pure and applied mathematics 250 (DE-604)BV000001885 250 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rao, Malempati M. 1929- Applications of Orlicz spaces Pure and applied mathematics Orlicz spaces Orlicz-Raum (DE-588)4172841-5 gnd
subject_GND	(DE-588)4172841-5
title	Applications of Orlicz spaces
title_auth	Applications of Orlicz spaces
title_exact_search	Applications of Orlicz spaces
title_full	Applications of Orlicz spaces M.M. Rao ; Z.D. Ren
title_fullStr	Applications of Orlicz spaces M.M. Rao ; Z.D. Ren
title_full_unstemmed	Applications of Orlicz spaces M.M. Rao ; Z.D. Ren
title_short	Applications of Orlicz spaces
title_sort	applications of orlicz spaces
topic	Orlicz spaces Orlicz-Raum (DE-588)4172841-5 gnd
topic_facet	Orlicz spaces Orlicz-Raum
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009844778&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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